The Legendre wavelet method for solving fractional differential equations
By Mujeeb Ur Rehman, Rahmat Ali Khan. 2011
260 citations recorded by the source corpus.
Subfields: Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/52ecade6d8a615a5c1f9b7d673ed13b4dea6103c
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In Modeling and Simulation
- Mohamed Ali Hajji
- Payam Mokhtary
- Farideh Ghoreishi
- Q. Al‐Mdallal
- Hari M. Srivastava
- Nitin Kumar
- Yin Yang
- Yunqing Huang
In Numerical Analysis
- Mohamed Ali Hajji
- Payam Mokhtary
- Farideh Ghoreishi
- Q. Al‐Mdallal
- Hari M. Srivastava
- Nitin Kumar
- Yin Yang
- Yunqing Huang
Citations in the corpus
- A Convergent Algorithm for Solving Higher-Order Nonlinear Fractional Boundary Value Problems (2015, methodology): “Table 1 illustrates the absolute values of the errors obtained by the present technique and the one obtained by the Legendre wavelet method [40] for this example.”
- Legendre wavelet collocation method for fractional optimal control problems with fractional Bolza cost (2020, methodology): “So, the Legendre scaling functions [36] are defined by the dilation and translation of Pm(t) as”
- An efficient approximate method for solving delay fractional optimal control problems (2016, unknown): “In recent years, the construction and application of different wavelets such as Chebyshev wavelet [22], second-kind Chebyshev wavelet [46], CAS wavelet [38], Legendre wavelet [35], and Bernoulli wavelet [17] has been shown to be a powerful mathematical tool for discretization of selected problems.”
- Spectral-Collocation Methods for Fractional Pantograph Delay-Integrodifferential Equations (2013, methodology): “Spectral methods have been proposed to solve fractional differential equations, such as the Legendre collocation method [11, 12], Legendre wavelets method [13, 14], and Jacobi-Gauss-Lobatto collocation method [15].”
- The Müntz-Legendre Tau method for fractional differential equations (2016, methodology): “Several analytical and numerical methods to solve fractional differential equations have been given such as, Adomian decomposition method[12], Homotopy perturbation method[32], Wavelet method[36], Linear B-spline method[25], Product integration method[18], multistep method[17], PredictorCorrector me”